KTs
52.49%
Wins 7.16%, ties 90.67%
KTo
47.51%
Wins 2.17%, ties 90.67%
KTs against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 7.158 | 90.669 | 2.173 | 52.492 |
| KTo | 2.173 | 90.669 | 7.158 | 47.508 |
KTs is a suited hand and KTo is an offsuit hand. The cards are the same ranks, so any difference in equity comes from suitedness alone.
With only 4.98 points between them, the board decides this matchup far more than the cards in hand. Split pots make up 90.67% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, KTs is number 22 and KTo is number 33 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 2,942,000 | 37,261,000 | 893,000 |
| KTo | 893,000 | 37,261,000 | 2,942,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 1.105 | 13.970 | 46.019 | 0.905 |
| KTo | 0.905 | 46.019 | 13.970 | 1.105 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: KTs holds 53.28% on two-tone flops and 50.29% on monotone flops. KTs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.
| Flop | Share of flops | KTs wins | Ties | KTo wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 3.265 | 96.735 | 0.000 | 51.633 |
| Rainbow, nine or lower | 7.771 | 3.409 | 96.591 | 0.000 | 51.705 |
| Two-tone | 46.363 | 8.829 | 88.901 | 2.270 | 53.280 |
| Monotone | 5.152 | 18.514 | 63.541 | 17.945 | 50.285 |
| Paired | 17.576 | 6.201 | 92.681 | 1.118 | 52.541 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 61.79% for KTs, 59.74% for KTo. Here the change is -9.30 and -12.23 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 52.492 | 61.789 | -9.297 | 0.84954 |
| KTs, rainbow, ten or higher | 51.633 | 61.789 | -10.156 | 0.83563 |
| KTs, rainbow, nine or lower | 51.705 | 61.789 | -10.084 | 0.83680 |
| KTs, two-tone | 53.280 | 61.789 | -8.509 | 0.86229 |
| KTs, monotone | 50.285 | 61.789 | -11.504 | 0.81382 |
| KTs, paired | 52.541 | 61.789 | -9.248 | 0.85033 |
| KTo, all flops | 47.508 | 59.739 | -12.231 | 0.79526 |
| KTo, rainbow, ten or higher | 48.367 | 59.739 | -11.372 | 0.80964 |
| KTo, rainbow, nine or lower | 48.295 | 59.739 | -11.444 | 0.80843 |
| KTo, two-tone | 46.720 | 59.739 | -13.019 | 0.78207 |
| KTo, monotone | 49.715 | 59.739 | -10.024 | 0.83220 |
| KTo, paired | 47.459 | 59.739 | -12.280 | 0.79444 |
Does a shared suit matter?
KTs and KTo never overlap in suit in a legal deal, so the whole matchup sits in the no-shared-suit row.
| Deals | Specific deals | Share of deals | KTs wins | Ties | KTo wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 24 | 100.00 | 7.158 | 90.669 | 2.173 | 52.492 |
How often this matchup comes up
Counting specific cards, KTs against KTo appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, KTs' average share is $104.98 (a gain of $4.98) and KTo's is $95.02 (a loss of $4.98).
In 1,000 deals of exactly this matchup, expect about 71 won outright by KTs, about 22 won outright by KTo and about 907 split.
The same matchup from the other side
The reversed view, KTo against KTs, shows 47.51% for KTo and 52.49% for KTs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with KsTs against KhTd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Nothing here is simulated. The 24 deals of KTs against KTo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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